TRENTON — Republican Gov. Chris Christie’s administration yesterday pushed back against a claim that Superstorm Sandy relief funding was withheld from Hoboken because its Democratic mayor wouldn’t sign off on a politically connected real estate venture.

Lt. Gov. Kim Guadagno strongly denied Hoboken Mayor Dawn Zimmer’s claims as “false” and “illogical” yesterday, the day before Christie’s second-term inauguration. And Marc Ferzan, executive director of the Governor’s Office of Recovery and Rebuilding, told reporters in a conference call that Hoboken has been treated no differently than other cities with respect to storm relief funds.

Zimmer said on Saturday that Guadagno pulled her aside at a supermarket opening in May and said Hoboken’s storm recovery funds hinged on Zimmer’s approval of a commercial development whose lawyer and lobbyist are close to the governor. On Sunday, Zimmer told CNN the ultimatum was delivered on behalf of the governor.

Guadagno said the mayor’s description of the

conversation “is not only false but is illogical and does not withstand scrutiny when all of the facts are examined.”

“Any suggestion that Sandy funds were tied to the approval of any project in New Jersey is completely false,” she said.

Zimmer met with investigators from the U.S. attorney’s office for several hours on Sunday and gave them journal entries she said were made at the time of the conversation. She also has offered to take a lie-detector test or testify under oath.

Zimmer told The Star-Ledger last night that members of the U.S. Attorney’s office came to Hoboken yesterday and interviewed numerous people.

“They were talking to people in Hoboken today,” she said. “They were definitely talking to people today.” She did not say who they spoke to.

Ferzan, during his conference call, said claims that Hoboken received less than its fair share of disaster aid were a “mischaracterization.”

Ferzan said the state has received more than $14 billion in requests statewide for Hazard Mitigation grants but has only about $300 million to disburse. Christie administration officials have said Hoboken has requested more than $100 million in such funding.

Federal authorities and state legislators are investigating another scandal involving the Christie administration — allegations that the governor’s top aides orchestrated traffic jams in Fort Lee by blocking off lanes to the George Washington Bridge, which connects to New York City, possibly to punish the town’s Democratic mayor for not endorsing the governor for re-election.